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Finding the Third Proportional to 342,153,808 and 494,353,272

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Solution

The third proportional to 342,153,808 and 494,353,272 is: 714,255,261.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,153,808 : 494,353,272 = 494,353,272 : x
  2. Step 2: Convert to fraction form
    342,153,808/494,353,272 = 494,353,272/x
  3. Step 3: Cross multiply
    342,153,808x = 494,353,272 × 494,353,272
  4. Step 4: Simplify right side
    342,153,808x = 244,385,157,537,105,984
  5. Step 5: Solve for x
    x = 244,385,157,537,105,984/342,153,808
  6. Step 6: Final answer
    x = 714,255,261.30

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.